Search a number
-
+
2221021010100 = 2235259205361121
BaseRepresentation
bin100000010100011111001…
…010110001100010110100
321212022211202212111021010
4200110133022301202310
5242342122334310400
64420153432152220
7316314654043554
oct40243712614264
97768752774233
102221021010100
11786a25505002
122ba547538670
13131597943459
14796d86b3164
153cb91b4e450
hex2051f2b18b4

2221021010100 has 144 divisors (see below), whose sum is σ = 6538362143040. Its totient is φ = 581940633600.

The previous prime is 2221021010099. The next prime is 2221021010123. The reversal of 2221021010100 is 10101201222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36307540 + ... + 36368660.

It is an arithmetic number, because the mean of its divisors is an integer number (45405292660).

Almost surely, 22221021010100 is an apocalyptic number.

2221021010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221021010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269181071520).

2221021010100 is an abundant number, since it is smaller than the sum of its proper divisors (4317341132940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2221021010100 is a wasteful number, since it uses less digits than its factorization.

2221021010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63250 (or 63243 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2221021010100 its reverse (10101201222), we get a palindrome (2231122211322).

The spelling of 2221021010100 in words is "two trillion, two hundred twenty-one billion, twenty-one million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 590 708 885 1180 1475 1770 2053 2950 3540 4106 4425 5900 6159 8212 8850 10265 12318 17700 20530 24636 30795 41060 51325 61121 61590 102650 121127 122242 123180 153975 183363 205300 242254 244484 305605 307950 363381 366726 484508 605635 611210 615900 726762 733452 916815 1211270 1222420 1453524 1528025 1816905 1833630 2422540 3028175 3056050 3606139 3633810 3667260 4584075 6056350 6112100 7212278 7267620 9084525 9168150 10818417 12112700 14424556 18030695 18169050 18336300 21636834 36061390 36338100 43273668 54092085 72122780 90153475 108184170 125481413 180306950 216368340 250962826 270460425 360613900 376444239 501925652 540920850 627407065 752888478 1081841700 1254814130 1505776956 1882221195 2509628260 3137035325 3764442390 6274070650 7403403367 7528884780 9411105975 12548141300 14806806734 18822211950 22210210101 29613613468 37017016835 37644423900 44420420202 74034033670 88840840404 111051050505 148068067340 185085084175 222102101010 370170168350 444204202020 555255252525 740340336700 1110510505050 2221021010100